en.wikipedia.org
"Any cutting or grinding must be done prior to tempering."
You are not wrong...but you are missing a part of this.
Highly tempered glass will absolutely obliterate itself if worked on...but "tempered" doesn't always mean what you think it means. The fun example is a Prince Rupert's drop, where a rapidly cooled ball of glass can basically deflect a hammer blow, but a set of wire cutters that fractures the tail will cause a catastrophic destruction event. Check out youtube for some videos.
That said, if you've managed to do tempered glass, and put a significant enough enough cut into it that it's more than just a bit annoying, then it's likely not insanely tempered. Take a piece of annealed glass while hot and run it through a water curtain and it'll take force until the second it doesn't, but if we're looking at a force air convection cooling line, the "tempered" part of the tempered glass is sometimes a good deal more pliable than you might otherwise think.
The trick with windshields is tempering and layering, that introduces discontinuities and energy absorption. If it's a relatively cheap piece of tempered glass then you're probably looking at something which might take some force and might not disintegrate...but not to either of the highest ends of the tolerance.
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I know this is a non-sequitor. That said, Soviet fun "rediscovered" by Owens Corning. They had unbreakable glass. The process to create is was replacement of atoms in the lattice of the glass, whose applied internal discontinuities acted similarly to the pre-stressed states of tempered glass. The catch is that because the stress was from the crystal lattice of the glass itself, it allowed for a glass to be dropped from 4 feet in the air, impact a ceramic tile, and simply bounce.
Communist glass
They used to not care, because recasting glass was very cheap. Now it's Gorilla Glass because cell phones are stupid expensive.
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